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The topological band theory predicts that bulk materials with nontrivial topological phases support topological edge states. This phenomenon is universal for various wave systems and has been widely observed for electromagnetic and acoustic…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Hao Hu , Song Han , Yihao Yang , Dongjue Liu , Haoran Xue , Gui-Geng Liu , Zheyu Cheng , Qi Jie Wang , Shuang Zhang , Baile Zhang , Yu Luo

Compared with conventional topological insulator that carries topological state at its boundaries, the higher-order topological insulator exhibits lower-dimensional gapless boundary states at its corners and hinges. Leveraging the form…

Applied Physics · Physics 2024-04-25 Zhoufei Liu , Pei-Chao Cao , Liujun Xu , Guoqiang Xu , Ying Li , Jiping Huang

Various unusual behaviors of artificial materials are governed by their topological properties, among which the edge state at the boundary of a photonic or phononic lattice has been captivated as a popular notion. However, this remarkable…

Applied Physics · Physics 2025-09-11 Minghong Qi , Dong Wang , Pei-Chao Cao , Xue-Feng Zhu , Cheng-Wei Qiu , Hongsheng Chen , Ying Li

Topological insulating phases are usually found in periodic lattices stemming from collective resonant effects, and it may thus be expected that similar features may be prohibited in thermal diffusion, given its purely dissipative and…

Applied Physics · Physics 2021-07-16 Guoqiang Xu , Yihao Yang , Xue Zhou , Hongsheng Chen , Andrea Alu , Cheng-Wei Qiu

Recently, a new class of second-order topological insulators (SOTIs) characterized by an electronic dipole has been theoretically introduced and proposed to host topological corner states. As a novel topological state, it has been…

Mesoscale and Nanoscale Physics · Physics 2021-10-14 Jiang Zeng , Haiwen Liu , Hua Jiang , Qing-Feng Sun , X. C. Xie

Quantized bulk quadrupole moment has unveiled a nontrivial boundary state, exhibiting lower-dimensional topological edge states and simultaneously hosting the in-gap corner modes of zero dimension. All state-of-the-art strategies for…

Mesoscale and Nanoscale Physics · Physics 2022-09-22 Guoqiang Xu , Xue Zhou , Jing Wu , Cheng-Wei Qiu

The integration of topological concepts into electronic energy band theory has been a transformative development in condensed matter physics. Since then, this paradigm has broadened its reach, extending to a variety of physical systems,…

Superconductivity · Physics 2024-02-28 Bao Chen , Kaiyun Pang , Ru Zheng , Feng Liu

We identify the possibility of realizing higher order topological (HOT) phases in noncrystalline or amorphous materials. Starting from two and three dimensional crystalline HOT insulators, accommodating topological corner states, we…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Adhip Agarwala , Vladimir Juricic , Bitan Roy

Higher-order topological phase in 2-dimensional (2D) systems is characterized by in-gap corner states, which are hard to detect and utilize. We numerically investigate transport properties of topological corner states in 2D honeycomb…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Kai-Tong Wang , Fuming Xu , Bin Wang , Yunjin Yu , Yadong Wei

High-order topological insulators (TIs) are a family of recently-predicted topological phases of matter obeying an extended topological bulk-boundary correspondence principle. For example, a two-dimensional (2D) second-order TI does not…

Mesoscale and Nanoscale Physics · Physics 2020-06-17 Haoran Xue , Yahui Yang , Fei Gao , Yidong Chong , Baile Zhang

A second-order topological insulator in $d$ dimensions is an insulator which has no $d-1$ dimensional topological boundary states but has $d-2$ dimensional topological boundary states. It is an extended notion of the conventional…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Motohiko Ezawa

In the past years classical wave-systems have constituted an excellent platform for emulating complex quantum phenomena. This approach has been especially fruitful in demonstrating topological phenomena in photonics and acoustics: from…

Applied Physics · Physics 2020-04-09 Matthew Weiner , Xiang Ni , Mengyao Li , Andrea Alù , Alexander B. Khanikaev

Pursuing topological phase and matter in a variety of systems is one central issue in current physical sciences and engineering. Motivated by the recent experimental observation of corner states in acoustic and photonic structures, we…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Z. -X. Li , Yunshan Cao , Peng Yan , X. R. Wang

Simulating higher-order topological materials in synthetic quantum matter is an active research frontier for its theoretical significance in fundamental physics and promising applications in quantum technologies. Here we experimentally…

Quantum Gases · Physics 2025-01-24 Zhaoli Dong , Hang Li , Hongru Wang , Yichen Pan , Wei Yi , Bo Yan

Non-Hermitian physics and topological phenomena are two hot topics attracted much attention in condensed matter physics and artificial metamaterials. Thermal metamaterials are one type of metamaterials that can manipulate heat on one's own.…

Applied Physics · Physics 2024-05-03 Zhoufei Liu

In recent years, there has been a surge of interest in higher-order topological phases (HOTPs) across various disciplines within the field of physics. These unique phases are characterized by their ability to harbor topological protected…

Mesoscale and Nanoscale Physics · Physics 2025-04-22 Chunbo Hua , Dong-Hui Xu

Topologically protected gapless edge/surface states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

Materials Science · Physics 2020-09-30 Baizhan Xia , Shengjie Zheng , Liang Tong , Junrui Jiao , Guiju Duan , Dejie Yu

Quantum simulators are an essential tool for understanding complex quantum materials. Platforms based on ultracold atoms in optical lattices and photonic devices led the field so far, but electronic quantum simulators are proving to be…

Mesoscale and Nanoscale Physics · Physics 2019-11-25 S. N. Kempkes , M. R. Slot , J. J. van den Broeke , P. Capiod , W. A. Benalcazar , D. Vanmaekelbergh , D. Bercioux , I. Swart , C. Morais Smith

A Kagome lattice, formed by triangles of two different directions, is known to have many emergent quantum phenomena. Under the breathing anisotropy of bond strengths, this lattice can become a higher-order topological insulator (HOTI),…

Mesoscale and Nanoscale Physics · Physics 2022-02-24 Jun Jung , Yong-Hyun Kim

Topological phases of matter have been extensively studied for their intriguing bulk and edge properties. Recently, higher-order topological insulators with boundary states that are two or more dimensions lower than the bulk states, have…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Xiujuan Zhang , Bi-Ye Xie , Hong-Fei Wang , Xiangyuan Xu , Yuan Tian , Jian-Hua Jiang , Ming-Hui Lu , Yan-Feng Chen
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